A simplification for some disjunctive formulations

Abstract We give sufficient conditions under which a relatively compact integer formulation can be obtained for some instances of multiple-right-hand-side constraints, with the special property that the linear relaxation of this formulation is as small (tight) as possible among all integer formulations. The formulation we obtain is a simplification of the disjunctive formulation, and requires exactly as many additional (nonnegative) variables as alternative r.h.s., with one additional constraint. We conclude with several applications of our results.